Even perfect polynomials over $F_2$ with four prime factors

Luis H. Gallardo, Olivier Rahavandrainy

A perfect polynomial over the binary field $\F_2$ is a polynomial $A \in \F_2[x]$ that equals the sum of all its divisors. If $\gcd (A,x^2-x)\ne 1$ then we call $A$ even. The list…